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Marina86 [1]
2 years ago
5

Which of the following are possible explicit formulas for the nth term of the constant velocity sequence below? Check all that a

pply. 10, 17, 24, 31, ...
Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
8 0
We have an arithmetic progression:
Nth=an
an=a₁+(n-1)d
a₁ is the first term.
n=number of terms.
d=common difference

10,17,24,31...
a₁=10
d=a₂-a₁=17-10=7

Therefore:
Nth=an
an=a₁+(n-1)d
an=10+(n-1)7
an=10+7n-7
an=7n+3.

Therefore: the formula for the nth is, an=a+(n-1), in this case; an=7n+3,

To check:
a₁=7*1+3=10
a₂=7*2+3=17
a₃=7*3+3=24
a₄=7*4+3=31
a₅=7*5+3=38.......
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galina1969 [7]

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Option D

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Answer:

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